Answers
The perimeter of a rectangle in which h=8 ft and A=144x ft2 is 16 ft + 36x ft. Therefore, the correct option is: C P= (16 + 36x) ft
What is perimeter?Perimeter is the outer perimeter distance of a closed 2D shape. It is the sum of the lengths of all the sides of the shape.
Using the formula for the area of a rectangle, A = lw, and substituting the given values of h = 8 ft and A = 144x ft^2, we can solve for the width w as:
w = A/h = (144x ft^2)/(8 ft) = 18x ft
The perimeter of the rectangle can then be found using the formula:
P = 2l + 2w
Substituting the given value of h = 8 ft, we have:
P = 2(8 ft + 18x ft) = 16 ft + 36x ft
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The perimeter of a rectangle in which h=8 ft and \(A=144x\ ft^2\) is
16 ft + 36x ft. Therefore, the correct option is: C P= (16 + 36x) ft.
What is perimeter?The perimeter of a closed 2D object is measured from edge to edge. It stands for the length of the shape's borders overall.
Using the equation for a rectangle's area, A = lw, and substituting the given values of h = 8 ft and \(A=144x\ ft^2\), we can solve for the width w as:
\(w=\frac{A}{h} \\\\w=\frac{144x\ ft^2}{8\ ft} \\\\w=18x\ ft\)
The following algorithm can be used to determine the rectangle's perimeter:
P = 2l + 2w
With h = 8 feet as the substitute, we get:
P = 2(8 ft + 18x ft)
= 16 ft + 36x ft
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Related Questions
En la ecuación x² - 7x - 63 = 0, ¿cuáles son los valores de x?
Answers
Answer:
x1= -5.1746
x2= 12.1746
6. – 4y + 8x = 32 for y
Answers
Answer:
The answer is: y=2x−8
Step-by-step explanation:
Step 1: Add -8x to both sides.
8x−4y+−8x=32+−8x
−4y=−8x+32
Step 2: Divide both sides by -4.
−4y−4=−8x+32−4
y=2x−8
Answer:
Step-by-step explanation:
-4y + 8x = 32
⇔ -4y = 32 - 8x
⇔ y = \(\frac{32 - 8x}{-4}\)
⇔ y = \(\frac{8*(4-x)}{-4}\)
⇔ y = -2*(4-x)
⇔ y = -8 + 2x
⇔ y = 2x -8
Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help
Answers
Answer:
KitKat
Step-by-step explanationKitKat
Suppose an Inspector at a shipping port is checking for counterfeit goods. The Inspector confronts an Owner of three shipping containers. The containers are labeled A, B, and C. Both the Inspector and Owner know that one of the three shipping containers has counterfeit goods. The Inspector does not know which container has the counterfeit goods but knows that each container has the same chance of containing the counterfeit goods. Prior to the Inspectors arrival, the owner randomly chose one of the containers to place the counterfeit goods in. Per company policy, the Inspector can only request that the Owner open one of the containers to inspect. If the Inspector successfully finds the counterfeit items they receive a payoff of 100 and if they fail to find the counterfeit items they receive a payoff of -100. The Owner receives a payoff of 100 if the Inspector does not find the counterfeit goods and a payoff of -100 if the Inspector finds the items. Suppose the Inspector chooses container B. However, before opening container B, the Owner instead opens container A. The Owner shows the Inspector that inside container A there are no counterfeit items. The Owner then asks the Inspector if they would like to request that the Owner open container C instead of A. Use game theory to show whether the Inspector would maximize their chance of finding counterfeit items by opening container B or switching to container C. What is the expected payoff for both the Owner and Inspector for each choice?
Answers
Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.
This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.
To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:
If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).
If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).
Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.
If the Inspector chooses container B, the expected payoff is:
Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33
If the Inspector switches to container C, the expected payoff is:
Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33
Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.
For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:
Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33
If the Inspector switches to container C, then the Owner's expected payoff is:
Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33
Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.
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A family has a monthly mortgage payment of $696, which is 16% of its monthly income. What is the family's monthly income?
Answers
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The c
at least 380 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 17 tons o
hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $
operating cost of the second mine is $28,000 per hour. The first mine can be operated no more than 40 hours a week, and the second ml
more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
first mine : 40 hour(s)
Second mine : 7 hour(s)
Answers
Anyone knows the answers?
Answers
Answer:
1. 36
2. Ratio is the relationship that compares one value to another in a fraction-like manner.
3. Equation is a statement that compares who values with an equality sign.
4. The perimeter is the distance around the object while the area is the amount of space inside the area.
The radius of a circle is 6 meters. What is the circle's circumference?
Use 3.14 for л.
Answers
The Circumference of the given circle with a radius of 6 meters and л’s value of 3.14 is 37.68 meters.
In 2-D Geometry, the circumference of the circle is the perimeter running around the circle.
The Circumference of a circle is given by the following formula:
C=2 лr…..(i),
Where,
C = Circumference of the circle,
Л = 3.14 (given value)
r= Radius of the circle = 6 meters (given).
Substituting the values of each variable in equation (i), we get;
C = 2 лr = 2x3.14x6 meters,
Or, C = 37.68 meters
Therefore, the circumference of the given circle is 37.68 meters
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Make r the subject - picture underneath
Answers
Answer:
The answer is r = 6a / (5m² - 1).
Step-by-step explanation:
The steps are :
\(m = \sqrt{ \frac{6a + r}{5r} } \)
\( {m}^{2} = \frac{6a + r}{5r} \)
\(5r {m}^{2} = 6a + r\)
\(5r {m}^{2} - r = 6a\)
\(r(5 {m}^{2} - 1) = 6a\)
\(r = \frac{6a}{5 {m}^{2} - 1 } \)
Answer:
r = \(\frac{6a}{5m^2-1}\)
Step-by-step explanation:
Given
m = \(\sqrt{\frac{6a+r}{5r} }\) ( square both sides )
m² = \(\frac{6a+r}{5r}\) ( multiply both sides by 5r )
5rm² = 6a + r ( subtract r from both sides )
5rm² - r = 6a ← factor out r from each term on the left side
r(5m² - 1) = 6a ← divide both sides by (5m² - 1)
r = \(\frac{6a}{5m^2-1}\)
Quadrilateral A has side lengths of 6, 9, 15 and 18 Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 4. What is the perimeter of Quadrilateral B?
Answers
Answer:
4, 6, 10, 12 I think are the sides the perimeter=32
Step-by-step explanation:
Sam goes to a restaurant to buy a burger along with a drink. he has the options of having either a hamburger, a cheese burger or a chicken burger. along with it, he can pick either an orange juice or a apple juice. find his probability of having a cheese burger along with an apple juice.
Answers
The probability of Sam having a cheeseburger along with an apple juice is 1/6. can be found by multiplying the probabilities of choosing a cheeseburger and an apple juice.
Step 1: Determine the probability of choosing a cheeseburger.
Since Sam has the options of a hamburger, a cheeseburger, or a chicken burger, and there are three choices in total, the probability of Sam choosing a cheeseburger is 1/3.
Step 2: Determine the probability of choosing an apple juice.
Similarly, since Sam has the options of orange juice or apple juice, and there are two choices in total, the probability of Sam choosing an apple juice is 1/2.
Step 3: Calculate the probability of having a cheeseburger and an apple juice.
To find the probability of two independent events occurring together, we multiply the individual probabilities. Therefore, the probability of Sam having a cheeseburger along with an apple juice is (1/3) * (1/2) = 1/6.
So, the probability of Sam having a cheeseburger along with an apple juice is 1/6.
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What is the solution ?
Answers
Answer:
C
Step-by-step explanation:
Is this information sufficient to prove triangles DEF and OPQ congruent through SAS?
Answers
The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.
The parameters given for this problem are given as follows:
Two angle measures.One side length.As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.
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Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
Answers
Answer:
7.8
Step-by-step explanation:
You want the distance between P(8, 2) and Q(3, 8).
Distance between pointsThe distance between points is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -8)² +(8 -2)²) = √((-5)² +6²) = √61
d ≈ 7.8
The distance between points P and Q is about 7.8 units.
__
Additional comment
You will notice that the desired distance is the length of the hypotenuse of a right triangle with legs that are 5 and 6. The Pythagorean theorem tells you that length is √(5² +6²) = √61, as above. The distance formula is based on the Pythagorean theorem.
You can find the relevant triangle leg lengths by counting grid squares on the graph. Of course, the distance formula does the same thing by subtracting coordinate values.
In a machine, a particular gear completes a rotation in 6 seconds. Another gear completes a rotation in 9 seconds. At a certain instant, both gears complete their rotations at exactly the same time. How many seconds will elapse before the two gears complete their rotations at exactly the same time again?
Answers
The first time the two gears will complete their rotations at the same time will be after 18 seconds. One gear will have rotated three times, the other, two. Keep counting the multiples of either number until you reach one that both 9 and 6 have. The next one after 18 is 36.
a manufactured lot of buggy whips has 20 items, of which 5 are defective. a random sample of 5 items is chosen to be inspected. find the probability that the same contains exactly one defective item
Answers
This indicates that the probability is 0.4402% without replacement.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.
According to our question-
n = 5
x = 1
p = 5/20 = 0.25
15C4 = 15! / 4! * 11! = 1365
P = (5C1 * 15C4) / 20C5
Replacing:
P = 5 * 1365/15504
P = 0.4402
Hence, This indicates that the probability is 0.4402% without replacement.
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pls help me with this question will mark brainiest.
Answers
Answer:
vertical change is -3 and horizontal change is 1
adding slope answer in a little bit
Answer:
The slope of the question is \(-3\).
Step-by-step explanation:
Values
Vertical Change -9
Horizontal Change 3
Slope \(-3\)
each child in a sample of low-income children was administered a language and communication exam. the sentence complexity scores had a mean of and a standard deviation of .
Answers
For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64
Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.
Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64
So, an estimate of the true mean is sample mean=\(\bar x\)=7.64
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The complete question is given below:
Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.
Circle O has a arc length 34 inches sub tended by an angle of 78 degrees. Find the length of the radius, x, to the nearest tenth of an inch
Answers
Answer: 25 in.
Step-by-step explanation:
Given
Arc length is 34 inches
The angle subtended by the arc is \(78^{\circ}\)
arc length l subtending an angle \(\theta\) is given by
\(\Rightarrow l=\dfrac{\theta }{360^{\circ}}\times 2\pi R\)
Put the values
\(\Rightarrow 34=\dfrac{78^{\circ}}{360^{\circ}}\times 2\pi R\\\\\Rightarrow R=24.97\approx 25\ in.\)
What are the 4 tests for similar triangles?
Answers
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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please help me quickly
Answers
Answer:
I think its C. because slope is the rate of change and that graph has a decreasing slope. C makes sense to me but not 100% sure.
determine the volume of the cone
Answers
\( \: \)
_________
Given:-\( \tt \: Radius=9cm\)\( \: \)
\( \tt \: Height = 12cm\)\( \: \)
To find:-\( \tt \: volume \: of \: cone \: = \: ?\)\( \: \)
By using formula:-\( \small{\star \boxed{ \tt \color{blue} volume \: of \: cone \: = \frac{1}{3}h\pi {r}^{2} }}\)
\( \: \)
Solution:-\( \tt \: v = \frac{1}{3}h\pi {r}^{2} \)\( \: \)
\( \tt \: v = \frac{1}{3} \times 12 \times \pi \times ( {9})^{2} \)\( \: \)
\( \tt \: v = \frac{1}{3} \times 12\pi \times 81\)\( \: \)
\( \tt \: v = \frac{1}{ \cancel{3} } \times \cancel{972\pi}\)\( \: \)
\( \underline{ \boxed{ \tt{ \color{hotpink} \: 324\pi \: {cm}^{3} }}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answers
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
A student investigating study habits asks a simple random sample of 16 student at her school how many minutes they spent on their English homework the previous night. Suppose the actual parameter values for this variable are mu = 45 minutes and sigma = 15 minutes. Which of the following best describes what we know about the sampling distribution of means for the student's sample? O mu x = 45; sigma x unknown; shape of distribution unknown O mu x = 45; sigma x = 15; distribution approximately Normal O mu x = 45; sigma x = 15; shape of distribution unknown O mu x = 45; sigma x = 3.75; distribution approximately Normal O mu x = 45; sigma x = 3.75; shape of distribution unknown
Answers
The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.
What is Sampling Distribution?Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.
Given that,
μ = 45 minutes and σ = 15 minutes
Sampling distribution of means for the student's sample is :
μₓ = μ = 45
σₓ = σ / √n, where n is the sample size.
σₓ = 15 / √(16) = 15 / 4 = 3.75
Now since the sample size 16 which is less than 30, shape of the distribution is unknown.
Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.
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What is the value of 4(x − 2)(x − 3) + 7(x-2)(x - 5) - 6(x - 3)(x - 5) when * = 5?
Answers
Answer:
24
Step-by-step explanation:
Substitute 5 for x.
4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
Simplify data inside of parenthesis.
4(3)(2) + 7(3)(0) - 6(2)(0)
Because anything multiplied by 0 is 0, you can cancel out the last 2 terms.
Remaining term.
4(3)(2)
Solve: 12*2
24
In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?
Answers
Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)
Step-by-step explanation:
Answer:
He needs 7 A's.
Step-by-step explanation:
The pictures.
Hope this helps!!! :)
we assume that with a linear relationship between two variables, for any fixed value of x, the observed ________ follows a normal distribution.
Answers
We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.
This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.
In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.
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What are the types of moment of inertia units?
Answers
The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².
The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:
kg m² (kilogram-meter squared)
g cm² (gram-centimeter squared)
lb ft² (pound-foot squared)
oz in² (ounce-inch squared)
These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.
The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.
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May someone please help me?
Answers
Answer:
the first one is 21,24, i think i dont know though
Step-by-step explanation:
Answer:
-86 for number 2, and -22 for number 3
Step-by-step explanation:
can someone please help me with this
Answers
Answer:
no
Step-by-step explanation:
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